What is the Greatest Common Factor of 60922 and 60930?

Greatest common factor (GCF) of 60922 and 60930 is 2.

GCF(60922,60930) = 2

We will now calculate the prime factors of 60922 and 60930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60922 and 60930.

How to find the GCF of 60922 and 60930?

We will first find the prime factorization of 60922 and 60930. After we will calculate the factors of 60922 and 60930 and find the biggest common factor number .

Step-1: Prime Factorization of 60922

Prime factors of 60922 are 2, 83, 367. Prime factorization of 60922 in exponential form is:

60922 = 2¹ × 83¹ × 367¹

Step-2: Prime Factorization of 60930

Prime factors of 60930 are 2, 3, 5, 677. Prime factorization of 60930 in exponential form is:

60930 = 2¹ × 3² × 5¹ × 677¹

Step-3: Factors of 60922

List of positive integer factors of 60922 that divides 60922 without a remainder.

1, 2, 83, 166, 367, 734, 30461

Step-4: Factors of 60930

List of positive integer factors of 60930 that divides 60922 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 677, 1354, 2031, 3385, 4062, 6093, 6770, 10155, 12186, 20310, 30465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60922 and 60930. The biggest common factor number is the GCF number.
So the greatest common factor 60922 and 60930 is 2.

Also check out the Least Common Multiple of 60922 and 60930